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Finding the Third Proportional to 12,286.69 and 18,532.13

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Solution

The third proportional to 12,286.69 and 18,532.13 is: 27,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.69 : 18,532.13 = 18,532.13 : x
  2. Step 2: Convert to fraction form
    12,286.69/18,532.13 = 18,532.13/x
  3. Step 3: Cross multiply
    12,286.69x = 18,532.13 × 18,532.13
  4. Step 4: Simplify right side
    12,286.69x = 343,439,657.02
  5. Step 5: Solve for x
    x = 343,439,657.02/12,286.69
  6. Step 6: Final answer
    x = 27,952.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.